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Finding the Fourth Proportional to 219,723, 329,467.86 and 101,333.40

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Solution

The fourth proportional to 219,723, 329,467.86 and 101,333.40 is: 151,946.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,723 : 329,467.86 = 101,333.40 : x
  2. Step 2: Convert to fraction form
    219,723/329,467.86 = 101,333.40/x
  3. Step 3: Cross multiply
    219,723x = 329,467.86 × 101,333.40
  4. Step 4: Simplify right side
    219,723x = 33,386,098,444.52
  5. Step 5: Solve for x
    x = 33,386,098,444.52/219,723
  6. Step 6: Final answer
    x = 151,946.31

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.